Paired structures and other opposite-based models

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Standard

Paired structures and other opposite-based models. / Rodríguez, J. Tinguaro; Franco, Camilo; Gómez, Daniel; Montero, Javier.

International joint conference IFSA-EUSFLAT 2015. Atlantis Press, 2015. p. 1375-1381 229.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Harvard

Rodríguez, JT, Franco, C, Gómez, D & Montero, J 2015, Paired structures and other opposite-based models. in International joint conference IFSA-EUSFLAT 2015., 229, Atlantis Press, pp. 1375-1381, The 16th World Congress of the International Fuzzy Systems Association (IFSA) and the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), Gijón, Spain, 30/06/2015. https://doi.org/10.2991/ifsa-eusflat-15.2015.194

APA

Rodríguez, J. T., Franco, C., Gómez, D., & Montero, J. (2015). Paired structures and other opposite-based models. In International joint conference IFSA-EUSFLAT 2015 (pp. 1375-1381). [229] Atlantis Press. https://doi.org/10.2991/ifsa-eusflat-15.2015.194

Vancouver

Rodríguez JT, Franco C, Gómez D, Montero J. Paired structures and other opposite-based models. In International joint conference IFSA-EUSFLAT 2015. Atlantis Press. 2015. p. 1375-1381. 229 https://doi.org/10.2991/ifsa-eusflat-15.2015.194

Author

Rodríguez, J. Tinguaro ; Franco, Camilo ; Gómez, Daniel ; Montero, Javier. / Paired structures and other opposite-based models. International joint conference IFSA-EUSFLAT 2015. Atlantis Press, 2015. pp. 1375-1381

Bibtex

@inproceedings{19eaa06f5b96408a8844ee361ab71108,
title = "Paired structures and other opposite-based models",
abstract = "In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.",
author = "Rodr{\'i}guez, {J. Tinguaro} and Camilo Franco and Daniel G{\'o}mez and Javier Montero",
year = "2015",
doi = "10.2991/ifsa-eusflat-15.2015.194",
language = "English",
pages = "1375--1381",
booktitle = "International joint conference IFSA-EUSFLAT 2015",
publisher = "Atlantis Press",
note = "null ; Conference date: 30-06-2015 Through 03-07-2015",

}

RIS

TY - GEN

T1 - Paired structures and other opposite-based models

AU - Rodríguez, J. Tinguaro

AU - Franco, Camilo

AU - Gómez, Daniel

AU - Montero, Javier

PY - 2015

Y1 - 2015

N2 - In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.

AB - In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.

U2 - 10.2991/ifsa-eusflat-15.2015.194

DO - 10.2991/ifsa-eusflat-15.2015.194

M3 - Article in proceedings

SP - 1375

EP - 1381

BT - International joint conference IFSA-EUSFLAT 2015

PB - Atlantis Press

Y2 - 30 June 2015 through 3 July 2015

ER -

ID: 141424610